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Finding the Fourth Proportional to 7,914.40, 10,921.44 and 4,377.40

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Solution

The fourth proportional to 7,914.40, 10,921.44 and 4,377.40 is: 6,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.40 : 10,921.44 = 4,377.40 : x
  2. Step 2: Convert to fraction form
    7,914.40/10,921.44 = 4,377.40/x
  3. Step 3: Cross multiply
    7,914.40x = 10,921.44 × 4,377.40
  4. Step 4: Simplify right side
    7,914.40x = 47,807,511.46
  5. Step 5: Solve for x
    x = 47,807,511.46/7,914.40
  6. Step 6: Final answer
    x = 6,040.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.